Finite Group Databasebeta

← #14770176

Subgroups — #14770176

Order 2816.

1130 conjugacy classes of subgroups.

The subgroup lattice has 712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623170C211yesmaximal, characteristic
2C2×#10622741C211yesmaximal, characteristic
3#13071547C211yesmaximal, characteristic
4#13069579C211yesmaximal, characteristic, complemented
5#13069572C211yesmaximal, characteristic, complemented
6#13069046C211yesmaximal, characteristic, complemented
7#13068925C211yesmaximal, characteristic, complemented
8#13068924C211yesmaximal, characteristic, complemented
9#13068708C211yesmaximal, characteristic, complemented
10#13068705C211yesmaximal, characteristic, complemented
11#13068629C211yesmaximal, characteristic, complemented
12#103×Dic11C211yesmaximal, characteristic, complemented
13#13068336C211yesmaximal, characteristic, complemented
14#13068334C211yesmaximal, characteristic, complemented
15C11×#1894C211yesmaximal, characteristic, complemented
16C22×C11×M16C2211yescharacteristic
17C2×C11×C22⋊Q8C2211yescharacteristic
18C2×#66999C2211yescharacteristic
19C2×Q8×Dic11C2211yescharacteristic
20C2×C4×C22⋊D11C2211yescharacteristic
21C2×#66979C2211yescharacteristic
22C22×C4⋊Dic11C2211yescharacteristic
23C22×#4313C2211yescharacteristic
24#10623170—24no—
25#10623170C418yescomplemented
26C2×#66945—21no—
27C2×#66945C2211yescharacteristic
28C2×C4⋊C4×D11C2211yescharacteristic
29C2×#66943C2211yescharacteristic
30C2×#66942—21no—
31C2×#66936—21no—
32C2×#66932—21no—
33C2×C11×#103C2211yescharacteristic
34C2×C11×#103C2211yescharacteristic
35C11×#380C2211yescharacteristic
36C2×#66899C2211yescharacteristic
37C2×#66899C2211yescharacteristic
38C2×C22⋊(C11⋊C8)C2211yescharacteristic
39#10622741—24no—
40C2×(C2×D11)⋊C8C2211yescharacteristic
41C2×Dic11⋊C8C2211yescharacteristic
42C2×C8×Dic11C2211yescharacteristic
43#10622600C2211yescharacteristic
44#10622590C2211yescharacteristic
45C4⋊C4×Dic11C2211yescharacteristic
46#10622571—21no—
47C22⋊C4×Dic11—21no—
48#10622283—21no—
49#10622268—21no—
50C11×#340C2211yescharacteristic
51C11×#340C2211yescharacteristic
52#10622189C2211yescharacteristic
53#10622189C2211yescharacteristic
54#10622189C2211yescharacteristic
55#10622189C2211yescharacteristic
56#10622167C2211yescharacteristic
57#10622167C2211yescharacteristic
58#10622167C2211yescharacteristic
59#10622167C2211yescharacteristic
60#10622167C2211yescharacteristic
61#10622167C2211yescharacteristic
62C22×Q8×C11C2311yescharacteristic
63C23×C4×C11C2311yescharacteristic
64C22×C22⋊D11D411yescharacteristic
65C23×Dic11—21no—
66C22×C4×D11—21no—
67C22×C4×D11C2311yescharacteristic
68C2×C11×M16—22no—
69C2×C11×M16—22no—
70C2×C11×M16—41no—
71C22×C8×C11C2311yescharacteristic
72C22×C8×C11C2311yescharacteristic
73C11×C22⋊Q8—22no—
74C11×C22⋊Q8C2×C414yes—
75C2×C11×C4⋊C4—21no—
76C2×C11×C4⋊C4C2311yescharacteristic
77C2×C11×C4⋊C4C2311yescharacteristic
78C2×C11×C4⋊C4C2311yescharacteristic
79C2×C11×C22⋊C4—21no—
80C2×C11×C22⋊C4—21no—
81C2×C22⋊Dic11—21no—
82C2×C22⋊Dic11D411yescharacteristic
83#66999—22no—
84#66999C2×C414yescomplemented
85Q8×Dic11—22no—
86Q8×Dic11C2×C414yescomplemented
87C4×C22⋊D11C2×C414yes—
88C4×C22⋊D11D414yes—
89C2×(C2×D11)⋊C4—21no—
90C2×(C2×D11)⋊C4—21no—
91C2×(C2×D11)⋊C4—21no—
92C2×(C2×D11)⋊C4D411yescharacteristic
93#66979—22no—
94#66979C2×C414yes—
95C2×C4⋊Dic11—21no—
96C2×C4⋊Dic11—21no—
97C2×C4⋊Dic11—22no—
98C2×C4⋊Dic11—21no—
99C2×C4⋊Dic11—41no—
100C2×C4⋊Dic11C2311yescharacteristic
101C2×C4⋊Dic11C2311yescharacteristic
102C2×C4⋊Dic11C2311yescharacteristic
103C2×C4⋊Dic11C2311yescharacteristic
104C2×Dic11⋊C4—21no—
105C2×Dic11⋊C4—21no—
106C2×Dic11⋊C4—21no—
107C2×Dic11⋊C4D411yescharacteristic
108C2×C4×Dic11—21no—
109C2×C4×Dic11—21no—
110C2×C4×Dic11—21no—
111C2×C4×Dic11—21no—
112C2×C4×Dic11C2311yescharacteristic
113C22×C11⋊C8C2311yescharacteristic
114C22×C11⋊C8C2311yescharacteristic
115C2×#4313—22no—
116C2×#4313—22no—
117C2×#4313—41no—
118#66945—28no—
119#66945—22no—
120#66945—41no—
121C4⋊C4×D11—22no—
122C4⋊C4×D11C2×C414yescomplemented
123#66943—22no—
124#66943C2×C414yescomplemented
125#66942—28no—
126#66936—28no—
127#66932—28no—
128C11×#103—22no—
129C11×#103—41no—
130C11×#95—21no—
131#66899—22no—
132#66899—41no—
133C11⋊#95—21no—
134C11⋊#95—21no—
135C11⋊#95—21no—
136C11⋊#95—21no—
137C22⋊(C11⋊C8)—22no—
138(C2×D11)⋊C8—22no—
139Dic11⋊C8—22no—
140C8×Dic11—22no—
141#22499—111nomaximal, Sylow
142C24×C11C2×D411yescharacteristic
143C23×D11C2×D411yescharacteristic
144C2×Q8×C11—21no—
145C2×Q8×C11—21no—
146C2×Q8×C11—21no—
147C2×Q8×C11—21no—
148C2×Q8×C11—21no—
149C2×Q8×C11C22×C412yes—
150C22×C4×C11—21no—
151C22×C4×C11—21no—
152C22×C4×C11—21no—
153C22×C4×C11—21no—
154C22×C4×C11—21no—
155C22×C4×C11—21no—
156C22×C4×C11—21no—
157C22×C4×C11—21no—
158C22×C4×C11C22×C412yes—
159C22×C4×C11C2×D411yescharacteristic
160C22×C4×C11C2×D412yes—
161C22×C4×C11C2411yescharacteristic
162C2×C22⋊D11—41no—
163C2×C22⋊D11—41no—
164C2×C22⋊D11C22⋊C414yes—
165C22×Dic11—21no—
166C22×Dic11—21no—
167C22×Dic11—21no—
168C22×Dic11—21no—
169C22×Dic11—42no—
170C22×Dic11—42no—
171C22×Dic11—81no—
172C22×Dic11C2×D411yescharacteristic
173C22×Dic11C2×D411yescharacteristic
174C22×Dic11C2×D411yescharacteristic
175C2×C4×D11—24no—
176C2×C4×D11—21no—
177C2×C4×D11—21no—
178C2×C4×D11—21no—
179C2×C4×D11—21no—
180C2×C4×D11—42no—
181C2×C4×D11—42no—
182C2×C4×D11C22×C412yes—
183C2×C4×D11C2×D412yes—
184C11×M16—44no—
185C2×C8×C11—21no—
186C2×C8×C11—21no—
187C2×C8×C11—21no—
188C2×C8×C11—21no—
189C2×C8×C11—21no—
190C2×C8×C11#4112yes—
191C11×C4⋊C4—24no—
192C11×C4⋊C4—21no—
193C11×C4⋊C4—21no—
194C11×C4⋊C4—21no—
195C11×C4⋊C4—21no—
196C11×C4⋊C4—21no—
197C11×C4⋊C4C22×C412yes—
198C11×C22⋊C4—24no—
199C11×C22⋊C4—42no—
200C22⋊Dic11—24no—
201C22⋊Dic11C22⋊C414yes—
202(C2×D11)⋊C4—24no—
203(C2×D11)⋊C4—42no—
204(C2×D11)⋊C4—81no—
205(C2×D11)⋊C4C22⋊C414yes—
206C4⋊Dic11—24no—
207C4⋊Dic11—24no—
208C4⋊Dic11—21no—
209C4⋊Dic11—21no—
210C4⋊Dic11—21no—
211C4⋊Dic11—21no—
212C4⋊Dic11—21no—
213C4⋊Dic11—42no—
214C4⋊Dic11C22×C412yes—
215C4⋊Dic11C22×C412yes—
216C4⋊Dic11#4112yes—
217Dic11⋊C4—24no—
218Dic11⋊C4—24no—
219Dic11⋊C4—24no—
220Dic11⋊C4C22⋊C414yes—
221C4×Dic11—24no—
222C4×Dic11—24no—
223C4×Dic11—42no—
224C4×Dic11—81no—
225C4×Dic11C22×C412yes—
226C4×Dic11C2×D412yes—
227C2×C11⋊C8—21no—
228C2×C11⋊C8—21no—
229C2×C11⋊C8—21no—
230C2×C11⋊C8—21no—
231C2×C11⋊C8—21no—
232C2×C11⋊C8—21no—
233#4313—44no—
234C2×#552—111no—
235C2×#436—111no—
236#2352—111no—
237#1991—111no—
238#1989—111no—
239#1894—111no—
240#1894D1111yescharacteristic, complemented
241#1873—111no—
242#1872—111no—
243#1825—111no—
244#1824—111no—
245#1805—111no—
246C4×#103—111no—
247#1736—111no—
248#1736—111no—
249C23×C11—21no—
250C23×C11—21no—
251C23×C11—21no—
252C23×C11—21no—
253C23×C11—21no—
254C23×C11—21no—
255C23×C11C2×C22⋊C412yes—
256C23×C11C22×D411yescharacteristic
257C22×D11—21no—
258C22×D11—21no—
259C22×D11—21no—
260C22×D11—21no—
261C22×D11—21no—
262C22×D11—21no—
263C22×D11C2×C22⋊C412yes—
264Q8×C11—22no—
265Q8×C11—22no—
266Q8×C11—41no—
267Q8×C11—41no—
268C2×C4×C11—21no—
269C2×C4×C11—21no—
270C2×C4×C11—22no—
271C2×C4×C11—22no—
272C2×C4×C11—22no—
273C2×C4×C11—22no—
274C2×C4×C11—22no—
275C2×C4×C11—22no—
276C2×C4×C11—41no—
277C2×C4×C11—41no—
278C2×C4×C11—41no—
279C2×C4×C11—41no—
280C2×C4×C11—41no—
281C2×C4×C11—41no—
282C2×C4×C11—41no—
283C2×C4×C11—41no—
284C2×C4×C11—41no—
285C2×C4×C11—41no—
286C2×C4×C11C2×C22⋊C412yes—
287C2×C4×C11C23×C411yescharacteristic
288C2×C4×C11C22×D411yescharacteristic
289C2×C4×C11C2×#4111yescharacteristic
290C2×C4×C11C2×#4111yescharacteristic
291C2×C4×C11H(5,𝔽2)11yescharacteristic
292C2×C4×C112−1+411yescharacteristic
293C22⋊D11—44no—
294C2×Dic11—21no—
295C2×Dic11—21no—
296C2×Dic11—21no—
297C2×Dic11—21no—
298C2×Dic11—21no—
299C2×Dic11—21no—
300C2×Dic11—22no—
301C2×Dic11—22no—
302C2×Dic11—22no—
303C2×Dic11—41no—
304C2×Dic11—41no—
305C2×Dic11—41no—
306C2×Dic11—41no—
307C2×Dic11—41no—
308C2×Dic11—41no—
309C2×Dic11—41no—
310C2×Dic11—41no—
311C2×Dic11—41no—
312C2×Dic11—84no—
313C2×Dic11C2×C22⋊C412yes—
314C2×Dic11C2×C22⋊C412yes—
315C2×Dic11C2×C22⋊C412yes—
316C4×D11—22no—
317C4×D11—22no—
318C4×D11—22no—
319C4×D11—22no—
320C4×D11—48no—
321C8×C11—22no—
322C8×C11—41no—
323C11⋊C8—41no—
324C11⋊C8—41no—
325C22×M16—111no—
326C22×M16C2×D1111yescharacteristic
327#552—118no—
328#552—224no—
329C2×#126—221no—
330C2×#125—111no—
331C2×#125—221no—
332C2×#123—221no—
333C2×C22⋊Q8—111no—
334C2×C22⋊Q8C2×D1111yescharacteristic
335C2×C4×Q8—111no—
336C2×C4×D4—111no—
337C2×#117—111no—
338C2×#117—111no—
339C2×#117—221no—
340C22×C4⋊C4—111no—
341C22×C4⋊C4—111no—
342#436—224no—
343C2×C4⋊C8—111no—
344C2×#103—111no—
345C2×#103—111no—
346C2×#103C2×D1111yescharacteristic
347C2×#103C2×D1111yescharacteristic
348C2×C22⋊C8—111no—
349C2×C22⋊C8—111no—
350C2×C4×C8—111no—
351#388—221no—
352#387—221no—
353#386—221no—
354#382—111no—
355#380—111no—
356#380C2×D1111yescharacteristic
357C4×C4⋊C4—111no—
358C4×C22⋊C4—221no—
359#340—111no—
360#340—111no—
361#340—111no—
362#340—111no—
363#340—111no—
364#340—111no—
365#340—111no—
366#340—111no—
367#340—111no—
368#340—111no—
369#340C2×D1111yescharacteristic
370#340C2×D1111yescharacteristic
371C22×C11—22no—
372C22×C11—22no—
373C22×C11—22no—
374C22×C11—41no—
375C22×C11—41no—
376C22×C11—41no—
377C22×C11—41no—
378C22×C11C22×C22⋊C411yescharacteristic
379C22×C11#54611yescharacteristic
380C22×C11#54711yescharacteristic
381C22×C11#57511yescharacteristic
382C22×C11#57511yescharacteristic
383C22×C11#57711yescharacteristic
384C22×C11#57811yescharacteristic
385C2×D11—22no—
386C2×D11—22no—
387C2×D11—22no—
388C2×D11—41no—
389C2×D11—41no—
390C2×D11—41no—
391C2×D11—41no—
392C4×C11—22no—
393C4×C11—42no—
394C4×C11—42no—
395C4×C11—81no—
396C4×C11—81no—
397C4×C11C4×#4111yescharacteristic
398C4×C11#52011yescharacteristic
399C4×C11#54611yescharacteristic
400C4×C11#54711yescharacteristic
401Dic11—22no—
402Dic11—22no—
403Dic11—22no—
404Dic11—42no—
405Dic11—42no—
406Dic11—42no—
407Dic11—81no—
408C22×Q8C22×D1111yescharacteristic
409C22×D4—111no—
410C23×C4—111no—
411C23×C4—221no—
412C23×C4—221no—
413C23×C4C22×D1111yescharacteristic
414C2×M16—22no—
415C2×M16—22no—
416C2×M16—41no—
417C2×M16—222no—
418C2×M16—222no—
419C2×M16—441no—
420C22×C8—111no—
421C22×C8—111no—
422C22×C8C22×D1111yescharacteristic
423C22×C8C22×D1111yescharacteristic
424#126—228no—
425#125—114no—
426#125—222no—
427#125—228no—
428#123—228no—
429C22⋊Q8—22no—
430C22⋊Q8—114no—
431C22⋊Q8—222no—
432C22⋊Q8C4×D1114yes—
433C4×Q8—114no—
434C4×Q8—222no—
435C4×D4—114no—
436C4×D4—114no—
437#117—114no—
438#117—228no—
439#117—222no—
440#117—222no—
441#117—441no—
442C2×C4⋊C4—21no—
443C2×C4⋊C4—111no—
444C2×C4⋊C4—111no—
445C2×C4⋊C4—111no—
446C2×C4⋊C4—111no—
447C2×C4⋊C4—114no—
448C2×C4⋊C4—111no—
449C2×C4⋊C4—222no—
450C2×C4⋊C4—222no—
451C2×C4⋊C4—221no—
452C2×C4⋊C4—221no—
453C2×C4⋊C4—221no—
454C2×C4⋊C4—221no—
455C2×C4⋊C4—221no—
456C2×C4⋊C4—221no—
457C2×C4⋊C4—441no—
458C2×C4⋊C4C22×D1111yescharacteristic
459C2×C4⋊C4C22×D1111yescharacteristic
460C2×C4⋊C4C22×D1111yescharacteristic
461C2×C22⋊C4—21no—
462C2×C22⋊C4—21no—
463C2×C22⋊C4—111no—
464C2×C22⋊C4—111no—
465C2×C22⋊C4—221no—
466C2×C22⋊C4—221no—
467C2×C22⋊C4—221no—
468C2×C22⋊C4—221no—
469C2×C42—111no—
470C2×C42—221no—
471C2×C42—221no—
472C2×C42—221no—
473C2×C42—221no—
474C4⋊C8—222no—
475#103—22no—
476#103—41no—
477#103—222no—
478#103—441no—
479C22⋊C8—222no—
480C22⋊C8—222no—
481C4×C8—222no—
482#95—21no—
483#95—221no—
484#95—221no—
485#95—221no—
486#95—221no—
487C2×C11—42no—
488C2×C11#233911yescharacteristic
489C2×C11#289611yescharacteristic
490C2×C11#289811yescharacteristic
491C2×C11#332311yescharacteristic
492C2×C11#332711yescharacteristic
493C2×C11#335111yescharacteristic
494C2×C11#335211yescharacteristic
495D11—42no—
496C24—111no—
497C24D4×D1111yescharacteristic
498C2×Q8—21no—
499C2×Q8—21no—
500C2×Q8—21no—
501C2×Q8—21no—
502C2×Q8—21no—
503C2×Q8C2×C4×D1112yes—
504C2×D4—114no—
505C2×D4—441no—
506C2×D4—441no—
507C22×C4—21no—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—111no—
516C22×C4—111no—
517C22×C4—111no—
518C22×C4—112no—
519C22×C4—112no—
520C22×C4—224no—
521C22×C4—221no—
522C22×C4—221no—
523C22×C4—221no—
524C22×C4—221no—
525C22×C4—221no—
526C22×C4—221no—
527C22×C4—221no—
528C22×C4—221no—
529C22×C4—442no—
530C22×C4—442no—
531C22×C4—442no—
532C22×C4—442no—
533C22×C4—881no—
534C22×C4C2×C4×D1112yes—
535C22×C4D4×D1111yescharacteristic
536C22×C4D4×D1112yes—
537C22×C4C23×D1111yescharacteristic
538M16—44no—
539M16—444no—
540C2×C8—21no—
541C2×C8—21no—
542C2×C8—21no—
543C2×C8—21no—
544C2×C8—21no—
545C2×C8—221no—
546C2×C8—221no—
547C2×C8—221no—
548C2×C8—221no—
549C2×C8—221no—
550C2×C8—221no—
551C2×C8#434112yes—
552C4⋊C4—24no—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—21no—
557C4⋊C4—21no—
558C4⋊C4—114no—
559C4⋊C4—112no—
560C4⋊C4—112no—
561C4⋊C4—112no—
562C4⋊C4—224no—
563C4⋊C4—224no—
564C4⋊C4—224no—
565C4⋊C4—224no—
566C4⋊C4—224no—
567C4⋊C4—221no—
568C4⋊C4—221no—
569C4⋊C4—221no—
570C4⋊C4—221no—
571C4⋊C4—221no—
572C4⋊C4—442no—
573C4⋊C4C2×C4×D1112yes—
574C22⋊C4—24no—
575C22⋊C4—42no—
576C22⋊C4—114no—
577C22⋊C4—114no—
578C22⋊C4—224no—
579C22⋊C4—224no—
580C22⋊C4—442no—
581C22⋊C4—881no—
582C42—112no—
583C42—112no—
584C42—224no—
585C42—224no—
586C42—442no—
587C42—881no—
588C11#2249911yescharacteristic, complemented, Sylow
589C23—21no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—112no—
596C23—221no—
597C23—221no—
598C23—221no—
599C23—221no—
600C23—221no—
601C23—221no—
602C23C22⋊C4×D1112yes—
603C23C2×D4×D1111yescharacteristic
604Q8—22no—
605Q8—22no—
606Q8—41no—
607Q8—41no—
608D4—444no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—22no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—112no—
628C2×C4—112no—
629C2×C4—112no—
630C2×C4—221no—
631C2×C4—221no—
632C2×C4—221no—
633C2×C4—221no—
634C2×C4—221no—
635C2×C4—221no—
636C2×C4—222no—
637C2×C4—222no—
638C2×C4—222no—
639C2×C4—222no—
640C2×C4—222no—
641C2×C4—222no—
642C2×C4—222no—
643C2×C4—448no—
644C2×C4—441no—
645C2×C4—441no—
646C2×C4—441no—
647C2×C4—441no—
648C2×C4—441no—
649C2×C4—441no—
650C2×C4—441no—
651C2×C4—441no—
652C2×C4—441no—
653C2×C4—884no—
654C2×C4C22⋊C4×D1112yes—
655C2×C4C22×C4×D1111yescharacteristic
656C2×C4C2×D4×D1111yescharacteristic
657C2×C4C2×#434111yescharacteristic
658C2×C4#6703711yescharacteristic
659C2×C4#41×D1111yescharacteristic
660C2×C4#6704311yescharacteristic
661C8—22no—
662C8—41no—
663C8—441no—
664C8—441no—
665C22—22no—
666C22—22no—
667C22—22no—
668C22—41no—
669C22—41no—
670C22—41no—
671C22—41no—
672C22—222no—
673C22—222no—
674C22—222no—
675C22—441no—
676C22—441no—
677C22—441no—
678C22—441no—
679C22C2×C22⋊C4×D1111yescharacteristic
680C22#1062314111yescharacteristic
681C22#1062314211yescharacteristic
682C22#1062330411yescharacteristic
683C22#1062330811yescharacteristic
684C22#1062330911yescharacteristic
685C22#1062331011yescharacteristic
686C4—22no—
687C4—42no—
688C4—42no—
689C4—81no—
690C4—81no—
691C4—222no—
692C4—222no—
693C4—222no—
694C4—442no—
695C4—442no—
696C4—442no—
697C4—881no—
698C4C4×#434111yescharacteristic
699C4#1062307711yescharacteristic
700C4#1062312211yescharacteristic
701C4#1062318611yescharacteristic
702C2—42no—
703C2—442no—
704C2#1307144211yescharacteristic
705C2#1307713211yescharacteristic
706C2#1307714811yescharacteristic
707C2#1308083811yescharacteristic
708C2#1308089011yescharacteristic
709C2#1308117111yescharacteristic
710C2#1308118611yescharacteristic
subgroupG/H
centerC23C2×D4×D11
commutatorC2×C4×C11C23×C4
FrattiniC22×C4C23×D11
FittingC11×#1894C2
socleC23×C11C22×D4
prime radicalC22×C22⋊D11D4
cosocleC22×C4×C11C24
hypercenter#1894D11
hypocenterC11#22499
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1894

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
4. #13069579C2semidirect
5. #13069572C2semidirect
6. #13069046C2semidirect
7. #13068925C2semidirect
8. #13068924C2semidirect
9. #13068708C2semidirect
10. #13068705C2semidirect
11. #13068629C2semidirect
12. #103×Dic11C2semidirect
13. #13068336C2semidirect
14. #13068334C2semidirect
15. C11×#1894C2semidirect
25. #10623170C4semidirect
84. #66999C2×C4semidirect
86. Q8×Dic11C2×C4semidirect
122. C4⋊C4×D11C2×C4semidirect
124. #66943C2×C4semidirect
240. #1894D11semidirect
588. C11#22499semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C2×#106231702
C2×#106227412
#130715472
#130695792
#130695722
#130690462
#130689252
#130689242
#130687082
#130687052
#130686292
#103×Dic112
#130683362
#130683342
C11×#18942
#2249911